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Ratio Atlas
Atlas › Integer Profiles › Node 400,112
400,112
24 × 17 × 1471
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 17 × 1471
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 821,376
Proper Divisor Sum 421,264
Digit Sum / Digital Root 8 (Root: 8)
Adjacent Primes #400109 ← → #400123

Radix Representation

Decimal 400112
Binary 1100001101011110000 (19 bits)
Octal 0o1415360
Hexadecimal 0x61AF0

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 1,471 2,942 5,884 11,768 23,536 25,007 50,014 100,028 200,056 400,112

Collatz Trajectory (161 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

400,112 200,056 100,028 50,014 25,007 75,022 37,511 112,534 56,267 168,802 84,401 253,204 126,602 63,301 189,904 94,952 47,476 23,738 11,869 35,608 17,804 8,902 4,451 13,354 6,677 20,032 10,016 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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